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3 years ago

HELP ASAP (20 points)

Geography

1 answer:

mart [117]3 years ago

6 0

Answer:

See the Freedom in the World 2020 score and learn about democracy and freedom ... Zambia's political system features regular multiparty elections, and some civil ... to the National Democratic Congress (NDC) party, led by former information ... use of the Public Order Act to restrict opposition events, and political violence.

Explanation:

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On a coordinate plane, 2 exponential functions are shown. f (x) = 5 Superscript x Baseline approaches y = 0 in quadrant 2 and in

kiruha [24]

Answer:

$k = -7$

Explanation:

Given

$f(x) = 5^x$ through (0,1) and (1,5)

$g(x) = 5^x + k$ through (0,-6) and (1,-2)

Required

Determine the value of k if f(x) is translated vertically down

To get the value of k, we perform the following operations.

For (0,-6) --- Substitute 0 for x and -6 for g(x) in $g(x) = 5^x + k$

$g(x) = 5^x + k$

$-6 = 5^0 + k$

$-6 = 1 + k$

$k + 1 = -6$

$k = -6 - 1$

$k = -7$

For (1,-2) --- Substitute 1 for x and -2 for g(x) in $g(x) = 5^x + k$

$g(x) = 5^x + k$

$-2 = 5^1 + k$

$-2 = 5 + k$

$k+5 = -2$

$k= -2-5$

$k = -7$

To further show that k = -7, we have the following:

$f(x) = 5^x$

When translated downward by 7 units, the function becomes

$g(x) = f(x) - 7$

Recall that: $g(x) = 5^x + k$ and $f(x) = 5^x$

So, we have:

$5^x + k = 5^x - 7$

Subtract $5^x$ from both sides

$5^x - 5^x + k = 5^x - 5^x + 7$

$k = -7$

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